Graph skein modules and symmetry of spatial graphs

2009/11/19 by Nafaa Chbili, Chbili, Nafaa
Mathematics · #57M25 #Advanced Combinatorial Mathematics #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT #msc:57M25

paper · pdf · doi:10.48550/arxiv.0911.3766

arxiv created 2009/11/19 · openalex publication_date 2009/11/19 · arxiv updated 2009/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we compute the graph skein algebra of the punctured disk with two holes. Then, we apply the graph skein techniques developed here to establish necessary conditions for a spatial graph to have a symmetry of order p, where p is a prime. The obstruction criteria introduced here extend some results obtained earlier for symmetric spatial graphs.

Related

• Skein Algebras of the solid torus and symmetric spatial graphs
• Grid homology for spatial graphs and a skein exact sequence
• Inherent Symmetries of graphs, paths, and Traveling Salesperson Problems
• Invariants of Spatial Graphs
• KBSM of the product of a disk with two holes and S¹